Home / 22,811.92-31,478.76-12,874

Finding the Fourth Proportional to 22,811.92, 31,478.76 and 12,874

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Solution

The fourth proportional to 22,811.92, 31,478.76 and 12,874 is: 17,765.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,811.92 : 31,478.76 = 12,874 : x
  2. Step 2: Convert to fraction form
    22,811.92/31,478.76 = 12,874/x
  3. Step 3: Cross multiply
    22,811.92x = 31,478.76 × 12,874
  4. Step 4: Simplify right side
    22,811.92x = 405,257,556.24
  5. Step 5: Solve for x
    x = 405,257,556.24/22,811.92
  6. Step 6: Final answer
    x = 17,765.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.